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1.
8.5 Applications of Matrices
and Determinants Objective: Use Cramer's rule to solve a system of equations, find area of triangles, and determine if three points are collinear. Standard: Linear Algebra 10.0
2.
Methods for finding determinants: method
1: ______________ method 2: ______________ method 3: ______________
3.
How are determinants
used?
4.
Cramer's Rule
5.
Ex 1) Solve
this system with Cramer's Rule.
6.
Triangle Area: Given 3
points, how can we find the area?
7.
Ex. 2) Find
the area of the triangle formed by the points (0, 0), (4, 1), and (2, 5).
8.
Ex. 2) Find
the area of the triangle formed by the points (0, 0), (4, 1), and (2, 5).
9.
Collinear Points
What if the area of a triangle is 0?
10.
Ex. 3) Are
the points (3, –1), (0, –3), and (9, 3) collinear?
11.
Bonus!! Equation of
a line! Ex. 4) Find an equation through the points (–4, 3) and (2, 1).
12.
Assignment: #14 p. 628 #2,
7, 18, 22, 29, 31, 34, 42
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